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Finding the Fourth Proportional to 13,078.42, 19,620.06 and 4,313.96

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Solution

The fourth proportional to 13,078.42, 19,620.06 and 4,313.96 is: 6,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.42 : 19,620.06 = 4,313.96 : x
  2. Step 2: Convert to fraction form
    13,078.42/19,620.06 = 4,313.96/x
  3. Step 3: Cross multiply
    13,078.42x = 19,620.06 × 4,313.96
  4. Step 4: Simplify right side
    13,078.42x = 84,640,154.04
  5. Step 5: Solve for x
    x = 84,640,154.04/13,078.42
  6. Step 6: Final answer
    x = 6,471.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.